Quantum effects upon drain current in a biased MOSFET

In the past, classical device simulators have been modified to incorporate quantum effects using a quantum mechanical (QM) threshold-shift correction. In this way, it is hoped to retain accuracy without greatly complicating the simulation by incorporation of a coupled Schrodinger equation solver. In...

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Bibliographic Details
Published in:IEEE transactions on electron devices 1998-10, Vol.45 (10), p.2213-2221
Main Authors: Ip, B.K., Brews, J.R.
Format: Article
Language:English
Subjects:
Computational modeling
Doping
Equations
Medical simulation
MOSFET circuits
Quantization
Quantum mechanics
Semiconductor process modeling
Technological innovation
Two dimensional displays
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Summary:In the past, classical device simulators have been modified to incorporate quantum effects using a quantum mechanical (QM) threshold-shift correction. In this way, it is hoped to retain accuracy without greatly complicating the simulation by incorporation of a coupled Schrodinger equation solver. In this work, the accuracy of this approach is checked for some specific examples. The drain current of heavily doped MOSFETs is found using a one-dimensional (1-D) Schrodinger-Poisson solver combined with a gradual channel model. Numerical results are compared to classical calculations augmented by the commonly proposed channel-current invariant QM threshold correction. Comparison of the two /spl radic/I/sub d(sat)/ versus V/sub GS/ curves shows the same threshold shifts, but different slopes. The slope discrepancies are independent of substrate doping, and are largest for thin oxides. These differences are shown to be due to QM effects upon the surface potential gradient, a variation neglected in previous studies. To simplify device simulations, two simple quantum-effect corrections are proposed that show a great improvement in accuracy when compared to the earlier QM correction based on a channel-current invariant V/sub G/-shift.
ISSN:0018-9383
1557-9646
DOI:10.1109/16.725256